EP0561258A1 - Procédé pour engendrer des signaux MPC (modulation à phase continue) - Google Patents
Procédé pour engendrer des signaux MPC (modulation à phase continue) Download PDFInfo
- Publication number
- EP0561258A1 EP0561258A1 EP93103786A EP93103786A EP0561258A1 EP 0561258 A1 EP0561258 A1 EP 0561258A1 EP 93103786 A EP93103786 A EP 93103786A EP 93103786 A EP93103786 A EP 93103786A EP 0561258 A1 EP0561258 A1 EP 0561258A1
- Authority
- EP
- European Patent Office
- Prior art keywords
- pulses
- cpm
- data sequence
- binary data
- signals
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Granted
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Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
- H04L27/20—Modulator circuits; Transmitter circuits
- H04L27/2003—Modulator circuits; Transmitter circuits for continuous phase modulation
- H04L27/2007—Modulator circuits; Transmitter circuits for continuous phase modulation in which the phase change within each symbol period is constrained
- H04L27/2017—Modulator circuits; Transmitter circuits for continuous phase modulation in which the phase change within each symbol period is constrained in which the phase changes are non-linear, e.g. generalized and Gaussian minimum shift keying, tamed frequency modulation
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
- H04L27/20—Modulator circuits; Transmitter circuits
- H04L27/2003—Modulator circuits; Transmitter circuits for continuous phase modulation
- H04L27/2007—Modulator circuits; Transmitter circuits for continuous phase modulation in which the phase change within each symbol period is constrained
- H04L27/2014—Modulator circuits; Transmitter circuits for continuous phase modulation in which the phase change within each symbol period is constrained in which the phase changes in a piecewise linear manner during each symbol period, e.g. minimum shift keying, fast frequency shift keying
Definitions
- the invention relates to a method according to the preamble of patent claim 1.
- the object of the invention is to provide a method for generating bandpass CPM signals with the modulation index 1/2 that is simple to implement.
- the bandpass CPM signals with modulation index 1/2 are formed directly in a single step by a linear superimposition of real pulses.
- the invention is based on the fact that the complex envelope of CPM signals can be represented with a linear superimposition of pulses.
- the introduction of differential coding and the selection of a suitable carrier frequency when carrying out the low-pass bandpass transformation are of essential importance in the method according to the invention.
- MSK Minimum Shift Keying
- each element u N of the data follows a ⁇ u N ⁇ movement of the phase angle in accordance with a weighted and delayed version of a phase function 4) (t).
- the phase function 4) (t) fulfills the relationships and connects the constant phase profiles (2) and (3) with a continuous curve (cf. Proakis' cited book: pages 148 to 186).
- the individual properties of a specific CPM are determined by the integer L and by the course of the phase function ⁇ (t) in the time interval O ⁇ t ⁇ LT.
- the signal s (t) has the center frequency
- the representation according to equation (7) is advantageous in connection with the signal generation in the transmitter and the signal evaluation in the receiver.
- the usual digital process for generating MSK signals is cumbersome because it consists of two steps, namely the digital generation of the complex envelope and the modulation of the carrier by the complex envelope.
- a fairly simple modulator can be realized based on equation (7).
- This modulator essentially consists of a memory in which the pulse Do (t) is stored according to equation (6).
- the MSK signal s (t) is achieved directly by reading out time-delayed replicas Do (t - NT) of the pulse Do (t), which are weighted with the continuously valid binary data element a N of the data sequence ⁇ a N ⁇ of the equation (4) .
- the representation according to equation (7) offers further advantages. Based on this signal representation, the response of the radio channel to the pulse Do (t) is a sufficient basis for an equalization algorithm. Another advantage is that the representation according to equation (7) can be used in functional tests of manufactured MSK modulators. For this purpose it must be examined whether the output signal of this modulator contains the pulse Do (t) in an undistorted form.
- the invention is based on the knowledge that not only for MSK signals s (t) but also for any CPM signals with the modulation index 1/2, a direct representation by linear superimposition of real pulses similar to equation (7) is possible. As a result, the previously mentioned advantages of such a linear representation are no longer limited to the case of the MSK.
- the invention is based on the fact that the complex envelope of CPM signals can be represented by a linear superposition of pulses (Laurent, PA: “Exact and Approximate Construction of Digital Phase Modulations by Superposition of Amplitude Modulated Pulses (AMP)", in IEEE Trans., Vol. COM-34, 1986, pages 150 to 160).
- This type of signal representation is decisively further developed by the invention, the key points being the introduction of differential transcoding and the selection of a suitable frequency f c of the carrier when a low-pass band-pass transformation is carried out.
- the determination of the weights of the pulses D K (t) is derived below.
- the time range t 0 is to be considered in the following.
- the complex envelope of a CPM signal with the modulation index 1/2 based on the binary data sequence ⁇ UN ⁇ , cf. Equation (1), and the phase function ⁇ (t), cf. equations (2) and (3) takes the following form:
- the CPM signal takes the following form according to equation (16):
- the pulses D K (t) are based on the pulses C K (t), cf. Equation (17).
- the pulses C K (t) are determined by the phase function ⁇ (t).
- the initial conditions for calculating the pulses C K (t) are the functions and the binary representation of the index K. With the function S (t) defined in equation (19) and the binary sets ⁇ K introduced in equation (20), the following pulses C K (t) result:
- the pulses C K (t) calculated according to the equations (21) can be used in the equations (17) to represent the pulses D K (t).
- the representation of a CPM signal according to equation (18) can be regarded as the basis of the circuit shown in block diagram form in FIG. 1 for carrying out the method according to the invention.
- the modulator shown is clocked at a rate 1 / T.
- the differential recoder 1 encodes the original binary data sequence ⁇ u N ⁇ so that the binary data sequence ⁇ a N ⁇ is obtained therefrom, see equations (1) and (4).
- the elements a N , a N - 1 , a N - 2 , a N - 3 and a N - 4 of the data sequence ⁇ a N ⁇ are formed in the shift register 2, which are used to generate the weights of the pulses D K (t) in the product formers 3 are required.
- Each clock pulse causes the memories 4 to output the pulses D K (t), which are multiplied in the multiplier 5 by their suitable weights.
- the output signals of the multipliers 5 are summed in the sum generator 6.
- the final CPM signal s (t) then arises at the output of the totalizer 6.
- the function of the recoder 1 is listed in the following table, ie the transition from ⁇ u N ⁇ to ⁇ a N ⁇ .
- Fig. 11 shows a GMSK signal which was generated using the binary data sequence ⁇ a k ⁇ of the table shown previously and the pulses Do (t) and D 1 (t).
- Fig. 12 shows a GMSK signal generated using the data sequence ⁇ u k ⁇ from the above-mentioned table and the phase function ⁇ (t). 13, the signals according to FIGS. 11 and 12 are superimposed, so that it can be seen that the signals for the time range t ⁇ 4T are identical. It can be seen from this that the validity of equation (18) has been preserved.
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- Engineering & Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Physics & Mathematics (AREA)
- Nonlinear Science (AREA)
- Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
- Magnetic Resonance Imaging Apparatus (AREA)
- Stabilization Of Oscillater, Synchronisation, Frequency Synthesizers (AREA)
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE4208728 | 1992-03-18 | ||
DE4208728 | 1992-03-18 |
Publications (2)
Publication Number | Publication Date |
---|---|
EP0561258A1 true EP0561258A1 (fr) | 1993-09-22 |
EP0561258B1 EP0561258B1 (fr) | 2001-08-01 |
Family
ID=6454397
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP93103786A Expired - Lifetime EP0561258B1 (fr) | 1992-03-18 | 1993-03-09 | Procédé pour engendrer des signaux MPC (modulation à phase continue) |
Country Status (3)
Country | Link |
---|---|
EP (1) | EP0561258B1 (fr) |
AT (1) | ATE203865T1 (fr) |
DE (1) | DE59310198D1 (fr) |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO1998044691A1 (fr) * | 1997-03-27 | 1998-10-08 | Siemens Aktiengesellschaft | Procede de transmission et systeme pour formes de signaux de type gmsk |
WO1999038298A1 (fr) * | 1998-01-21 | 1999-07-29 | Nokia Mobile Phones Limited | Mise en forme des impulsions en fonction d'un schema de modulation |
WO1999038297A1 (fr) * | 1998-01-21 | 1999-07-29 | Nokia Mobile Phones Limited | Mise en forme d'impulsions destinee a compenser la distorsion introduite un composant |
US6385256B1 (en) | 1997-12-11 | 2002-05-07 | Nokia Telecommunications Oy | Method and arrangement for signal modulation |
Families Citing this family (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US11424970B1 (en) | 2021-08-30 | 2022-08-23 | Rockwell Collins, Inc. | Converting GMSK impulse responses and optimal sequences |
-
1993
- 1993-03-09 AT AT93103786T patent/ATE203865T1/de not_active IP Right Cessation
- 1993-03-09 EP EP93103786A patent/EP0561258B1/fr not_active Expired - Lifetime
- 1993-03-09 DE DE59310198T patent/DE59310198D1/de not_active Expired - Fee Related
Non-Patent Citations (3)
Title |
---|
FREQUENZ Bd. 45, Nr. 7-8, Juli 1991, BERLIN, DE Seiten 186 - 191 JUNG P. ET AL.: 'Linearisierung der prim{r nichtlinearen Modulationsart MSK - eine anschauliche Darstellung' * |
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS Bd. 10, Nr. 8, Oktober 1992, NEW YORK, US Seiten 1236 - 1242 JUNG P. AND BAIER P. W.: 'On the Representation of CPM Signals by Linear Superposition of Impulses in the Bandpass Domain' * |
IEEE TRANSACTIONS ON COMMUNICATIONS Bd. 34, Nr. 2, Februar 1986, NEW YORK, US Seiten 150 - 160 LAURENT P. A.: 'Exact and Approximate Construction of Digital Phase Modulations by Superposition of Amplitude Modulated Pulses (AMP)' * |
Cited By (7)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO1998044691A1 (fr) * | 1997-03-27 | 1998-10-08 | Siemens Aktiengesellschaft | Procede de transmission et systeme pour formes de signaux de type gmsk |
US6385256B1 (en) | 1997-12-11 | 2002-05-07 | Nokia Telecommunications Oy | Method and arrangement for signal modulation |
WO1999038298A1 (fr) * | 1998-01-21 | 1999-07-29 | Nokia Mobile Phones Limited | Mise en forme des impulsions en fonction d'un schema de modulation |
WO1999038297A1 (fr) * | 1998-01-21 | 1999-07-29 | Nokia Mobile Phones Limited | Mise en forme d'impulsions destinee a compenser la distorsion introduite un composant |
GB2349318A (en) * | 1998-01-21 | 2000-10-25 | Nokia Mobile Phones Ltd | Pulse shaping according to modulation scheme |
GB2349317A (en) * | 1998-01-21 | 2000-10-25 | Nokia Mobile Phones Ltd | Pulse shaping which compensates for component distortion |
US7054658B1 (en) | 1998-01-21 | 2006-05-30 | Nokia Mobile Phones Limited | Pulse shaping according to modulation scheme |
Also Published As
Publication number | Publication date |
---|---|
ATE203865T1 (de) | 2001-08-15 |
EP0561258B1 (fr) | 2001-08-01 |
DE59310198D1 (de) | 2001-09-06 |
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